Brauer groups of schemes associated to symmetric powers of smooth projective curves in arbitrary characteristics

被引：0

作者：

Iyer, Jaya N. N. ^{[1
]}

Joshua, Roy ^{[2
]}

机构：

[1] Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2020年 / 224卷 / 03期

关键词：

Brauer group; Prym variety; Symmetric product of curves;

D O I：

10.1016/j.jpaa.2019.06.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show that the l(n)-torsion part of the cohomological Brauer groups of certain schemes associated to symmetric powers of a projective smooth curve over a separably closed field k are isomorphic, when E is invertible in k. The schemes considered are the Symmetric powers themselves, then the corresponding Picard schemes and also certain Quot-schemes. We also obtain similar results for Prym varieties associated to certain finite covers of such curves. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：1009 / 1022

页数：14